138413199335040
138,413,199,335,040 is an even composite number composed of seven prime numbers multiplied together.
138413199335040 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138413199335040:
27 × 32 × 5 × 7 × 192 × 23 × 6432
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 19 × 19 × 23 × 643 × 643)See below for interesting mathematical facts about the number 138413199335040 from the Numbermatics database.
Names of 138413199335040
- Cardinal: 138413199335040 can be written as One hundred thirty-eight trillion, four hundred thirteen billion, one hundred ninety-nine million, three hundred thirty-five thousand and forty.
Scientific notation
- Scientific notation: 1.3841319933504 × 1014
Factors of 138413199335040
Divisors of 138413199335040
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 23 24 28 30 32 35 36 38 40 42 45 46 48 56 57 60 63 64 69 70 72 76 80 84 90 92 95 96 105 112 114 115 120 126 128 133 138 140 144 152 160 161 168 171 180 184 190 192 207 210 224 228 230 240 252 266 276 280 285 288 304 315 320 322 336 342 345 360 361 368 380 384 399 414 420 437 448 456 460 480 483 504 532 552 560 570 576 608 630 640 643 644 665 672 684 690 720 722 736 760 798 805 828 840 855 874 896 912 920 960 966 1008 1035 1064 1083 1104 1120 1140 1152 1197 1216 1260 1286 1288 1311 1330 1344 1368 1380 1440 1444 1449 1472 1520 1596 1610 1656 1680 1710 1748 1805 1824 1840 1920 1929 1932 1995 2016 2070 2128 2166 2185 2208 2240 2280 2394 2415 2432 2520 2527 2572 2576 2622 2660 2688 2736 2760 2880 2888 2898 2944 3040 3059 3192 3215 3220 3249 3312 3360 3420 3496 3610 3648 3680 3858 3864 3933 3990 4032 4140 4256 4332 4370 4416 4480 4501 4560 4788 4830 5040 5054 5144 5152 5244 5320 5415 5472 5520 5760 5776 5787 5796 5985 6080 6118 6384 6430 6440 6498 6555 6624 6720 6840 6992 7220 7245 7296 7360 7581 7716 7728 7866 7980 8064 8280 8303 8512 8664 8740 8832 9002 9120 9177 9576 9645 9660 10080 10108 10288 10304 10488 10640 10830 10944 11040 11552 11574 11592 11970 12160 12217 12236 12635 12768 12860 12880 12996 13110 13248 13440 13503 13680 13984 14440 14490 14720 14789 15162 15295 15432 15456 15732 15960 16245 16560 16606 17024 17328 17480 18004 18240 18354 19152 19290 19320 19665 20160 20216 20576 20608 20976 21280 21660 21888 22080 22505 22743 23104 23148 23184 23940 24434 24472 24909 25270 25536 25720 25760 25992 26220 26496 27006 27360 27531 27968 28880 28935 28980 29578 30324 30590 30864 30912 31464 31920 32490 33120 33212 34656 34960 36008 36480 36651 36708 37905 38304 38580 38640 39330 40320 40432 40509 41152 41515 41952 42560 43320 44160 44367 45010 45486 45885 46208 46296 46368 47880 48868 48944 49818 50540 51072 51440 51520 51984 52440 54012 54720 55062 55936 57760 57870 57960 58121 59156 60648 61085 61180 61728 61824 62928 63840 64980 66240 66424 67515 69312 69920 72016 73302 73416 73945 74727 75810 76608 77160 77280 78660 80864 81018 82304 83030 83904 85120 85519 86640 88734 90020 90972 91770 92592 92736 95760 97736 97888 99636 101080 102880 103040 103523 103968 104880 108024 109440 109953 110124 113715 115520 115740 115920 116242 118312 121296 122170 122360 123456 124545 125856 127680 129960 132480 132848 133101 135030 137655 138624 139840 144032 146604 146832 147890 149454 151620 153216 154320 154560 157320 161728 162036 166060 167808 171038 173280 174363 177468 180040 181944 183255 183540 185184 185472 191520 195472 195776 199272 202160 202545 205760 207046 207936 209760 216048 219906 220248 221835 227430 231040 231480 231840 232123 232484 236624 242592 244340 244720 246912 249090 251712 255360 256557 259920 265696 266202 270060 275310 279680 280991 288064 290605 293208 293664 295780 298908 303240 308640 309120 310569 314640 323456 324072 332120 342076 346560 348726 354936 360080 363888 366510 367080 370368 373635 383040 390944 391552 398544 404320 405090 411520 413449 414092 415872 419520 427595 432096 439812 440496 443670 454860 462960 463680 464246 464968 473248 485184 488680 489440 498180 503424 513114 517615 519840 523089 531392 532404 540120 549765 550620 561982 576128 581210 586416 587328 591560 597816 606480 617280 621138 629280 648144 664240 665505 684152 693120 696369 697452 709872 720160 727776 733020 734160 740736 747270 766080 769671 781888 797088 808640 810180 826898 828184 839040 842973 855190 864192 871815 879624 880992 887340 909720 925920 927360 928492 929936 931707 946496 970368 977360 978880 996360 1026228 1035230 1039680 1046178 1062784 1064808 1080240 1099530 1101240 1123964 1160615 1162420 1172832 1174656 1183120 1195632 1212960 1234560 1240347 1242276 1258560 1282785 1296288 1328480 1331010 1368304 1392738 1394904 1404955 1419744 1440320 1455552 1466040 1468320 1494540 1539342 1552845 1563776 1594176 1617280 1620360 1624861 1653796 1656368 1685946 1710380 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2662611560 2686591602 2690769816 2710158195 2738686176 2778377280 2827991160 2832389280 2890835408 2985101780 2989744240 2995438005 3016523904 3042984640 3075165504 3119733120 3134356869 3195133872 3252189834 3299323020 3334052736 3363462270 3416850560 3423357720 3432867047 3519277888 3582122136 3587693088 3613544260 3651581568 3770654880 3776519040 3794221473 3843956880 3959187624 3993917340 4167565920 4179142492 4260178496 4336253112 4399097360 4477652670 4484616360 4524785856 4564476960 4679599680 4776162848 4783590784 4792700808 4948984530 5027539840 5058961964 5125275840 5223928115 5278916832 5325223120 5373183204 5381539632 5420316390 5477372352 5556754560 5655982320 5664778560 5781670816 5970203560 5979488480 5990876010 6085969280 6150331008 6268713738 6323702455 6390267744 6504379668 6598646040 6716479005 6726924540 6846715440 6865734094 7038555776 7164244272 7175386176 7227088520 7541309760 7588442946 7687913760 7918375248 7987834680 8130474585 8335131840 8358284984 8520356992 8672506224 8798194720 8955305340 8969232720 9049571712 9128953920 9359199360 9403070607 9552325696 9585401616 9897969060 10117923928 10250551680 10298601141 10447856230 10557833664 10650446240 10746366408 10763079264 10840632780 10954744704 11311964640 11329557120 11382664419 11563341632 11940407120 11958976960 11981752020 12537427476 12647404910 12780535488 13008759336 13197292080 13432958010 13453849080 13693430880 13731468188 14328488544 14350772352 14454177040 15082619520 15176885892 15375827520 15671784345 15836750496 15975669360 16260949170 16670263680 16716569968 17164335235 17345012448 17596389440 17910610680 17938465440 18257907840 18806141214 18971107365 19104651392 19170803232 19795938120 20235847856 20597202282 20895712460 21115667328 21300892480 21492732816 21526158528 21681265560 22623929280 22765328838 23126683264 23880814240 23917953920 23963504040 24030069329 25074854952 25294809820 25561070976 26017518672 26394584160 26865916020 26907698160 27386861760 27462936376 28656977088 28908354080 30353771784 30751655040 30895803423 31343568690 31673500992 31951338720 32521898340 33433139936 34328670470 34690024896 35192778880 35821221360 35876930880 37612282428 37942214730 38341606464 39591876240 40471695712 41194404564 41791424920 42601784960 42985465632 43052317056 43362531120 45247858560 45530657676 47015353035 47761628480 47927008080 48060138658 50149709904 50589619640 51493005705 52035037344 52789168320 53731832040 53815396320 54773723520 54925872752 56913322095 57313954176 57816708160 60707543568 61791606846 62687137380 63347001984 63902677440 65043796680 66866279872 68657340940 69380049792 71642442720 71753861760 72090207987 75224564856 75884429460 76683212928 79183752480 80943391424 82388809128 83582849840 85970931264 86725062240 91061315352 94030706070 95523256960 95854016160 96120277316 100299419808 101179239280 102986011410 104070074688 105578336640 107463664080 107630792640 109851745504 113826644190 115633416320 120150346645 121415087136 123583213692 125374274760 127805354880 130087593360 133732559744 137314681880 143284885440 144180415974 150449129712 151768858920 154479017115 158367504960 161886782848 164777618256 167165699680 171941862528 173450124480 182122630704 188061412140 191708032320 192240554632 200598839616 202358478560 205972022820 208140149376 214927328160 215261585280 216270623961 219703491008 227653288380 240300693290 242830174272 247166427384 250748549520 260175186720 274629363760 286569770880 288360831948 300898259424 303537717840 308958034230 316735009920 329555236512 334331399360 346900248960 360451039935 364245261408 376122824280 383416064640 384481109264 401197679232 404716957120 411944045640 429854656320 432541247922 439406982016 455306576760 480601386580 485660348544 494332854768 501497099040 520350373440 549258727520 576721663896 601796518848 607075435680 617916068460 659110473024 668662798720 720902079870 728490522816 752245648560 768962218528 809433914240 823888091280 859709312640 865082495844 910613153520 961202773160 988665709536 1002994198080 1040700746880 1081353119805 1098517455040 1153443327792 1203593037696 1214150871360 1235832136920 1318220946048 1441804159740 1456981045632 1504491297120 1537924437056 1647776182560 1730164991688 1821226307040 1922405546320 1977331419072 2005988396160 2162706239610 2197034910080 2306886655584 2428301742720 2471664273840 2883608319480 3008982594240 3075848874112 3295552365120 3460329983376 3642452614080 3844811092640 3954662838144 4325412479220 4613773311168 4943328547680 5767216638960 6017965188480 6591104730240 6920659966752 7284905228160 7689622185280 8650824958440 9227546622336 9886657095360 11534433277920 13841319933504 15379244370560 17301649916880 19773314190720 23068866555840 27682639867008 34603299833760 46137733111680 69206599667520 138413199335040
- Sum of all divisors σ(n): 602502532295040
- Sum of proper divisors (its aliquot sum) s(n): 464089332960000
- 138413199335040 is an abundant number, because the sum of its proper divisors (464089332960000) is greater than itself. Its abundance is 325676133624960
Bases of 138413199335040
- Binary: 111110111100010110101011001010000011110100000002
- Hexadecimal: 0x7DE2D5941E80
- Base-36: 1D2A595SW0
Squares and roots of 138413199335040
- 138413199335040 squared (1384131993350402) is 19158213750161517498171801600
- 138413199335040 cubed (1384131993350403) is 2651749658704410338470550533636798808064000
-
The
square root of 138413199335040 is 11764913.9110764427 -
The
cube root of 138413199335040 is 51728.0176838557
Scales and comparisons
How big is 138413199335040?- 138,413,199,335,040 seconds is equal to 4,401,111 years, 31 weeks, 22 hours, 24 minutes.
-
To count from 1 to 138,413,199,335,040 would take you about eleven million, two thousand, seven hundred seventy-eight years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 138413199335040 cubic inches would be around 4310.7 feet tall.
Recreational maths with 138413199335040
- 138413199335040 backwards is 040533991314831
- The number of decimal digits it has is: 15
- The sum of 138413199335040's digits is 54
- More coming soon!
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"Number 138413199335040 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
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Numbermatics. (2024). Number 138413199335040 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/138413199335040/
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The information we have on file for 138413199335040 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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